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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004843912914 2,563 digits created 2023-10-24

Value

2078564474260555516364796035924039221414937538300345947641088260182316363995030060298427658467652043221113581852460988050257653898211548297558688976690174211584586198522907385598018200654179867863278228232686025511162875378478494581703136745567578108802665430047518091071911273742877449001508634677584768006582160115875745069440697362264115790220870253609894863549056042348322013492833895845452685222892356643617620572758642287479123739369531666517808056442224130709584965349297206286562612769480141243234909742016989815789095759879670759401903777404631151233543087186577784536539548178954396650558471824310411260582614213456288700796772970307121946884237382053417479089385797518088715168641024132505322483717501349963909855558638258465669888649037646768876155261256488796914632579010287402619795038917067782003625357820098253034869347099100160229482129226861190544876108491082304956795540156269178263379833608979006371432785547711077846437948299077114480517034752526699137599619366449146875976039551879333744396771666064927342076054907716216215362624356682531663386834886686226851392181970491521676885191636811736796026899027508601382489610721235890172934016076226966727408211918753030207688166215815690345464530466843003384927403383757136203150838011456848898465326404294495720273838917114831364871380813936313657207974047581046880644252514499103380571683970841608316476253073490659023104992224305157590436139225522015464098916291837219933646478954695720433768167710091853696671447236307914256654802420425877952378270400592242772191998529517306741416204891619054294847741853896789614297866703186877734506593190820072474289705386722879034683061914301742845988910569642248180153862345183206979030734282794462950899988671021929566141264859726114325418283169345612820109990294439726754721450687453475710471433344866884326477870067627682040937449248004604746495779921010833815961006247171132135246904952598052350127806605902007953001719374362453904502862225240962636614659524606605255173054181850474790962791415408198910602382847862094777923078352057186626469293194930843164740573482777602340693485051461573634555410097930982311224352846227599119802961254340119892068975822904548100486519919535042615902629507292050711993287017221402013165991836816581510659261490791859253073866577038468319183982623785605092239062894534016711335833966134287600253288409276858323652384934811115436299819944130459540600379207512072886379270226950270035697428085568474421815347311056059526079004060740878843498548079930912246073001923359642701605401917975634723504473764555795286909801
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 3,351-digit prime (364 intermediate primes).

Certified number3,351-digit prime
Certificatedownload
Certificate chainshow step 82 of 364

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004843912914 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004843912914},"decimal":true,"detail":2}}'